3409520800 has 72 divisors (see below), whose sum is σ = 9512578656. Its totient is φ = 1168976640.

The previous prime is 3409520753. The next prime is 3409520809. The reversal of 3409520800 is 80259043.

It is not an unprimeable number, because it can be changed into a prime (3409520809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 298822 + ... + 310021.

It is an arithmetic number, because the mean of its divisors is an integer number (132119148).

Almost surely, 2^3409520800 is an apocalyptic number.

It is an amenable number.

3409520800 is an abundant number, since it is smaller than the sum of its proper divisors (6103057856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3409520800 is a wasteful number, since it uses less digits than its factorization.

3409520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608870 (or 608857 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 3409520800 is about 58391.1020618724. The cubic root of 3409520800 is about 1505.0968543607.

Adding to 3409520800 its reverse (80259043), we get a palindrome (3489779843).

The spelling of 3409520800 in words is "three billion, four hundred nine million, five hundred twenty thousand, eight hundred".